11117862360 has 672 divisors, whose sum is σ = 43331591520. Its totient is φ = 2559237120.

The previous prime is 11117862359. The next prime is 11117862403. The reversal of 11117862360 is 6326871111.

11117862360 is a `hidden beast` number, since 1 + 11 + 17 + 8 + 623 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 81152212 + ... + 81152348.

It is an arithmetic number, because the mean of its divisors is an integer number (64481535).

Almost surely, 2^11117862360 is an apocalyptic number.

11117862360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117862360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665795760).

11117862360 is an abundant number, since it is smaller than the sum of its proper divisors (32213729160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11117862360 is a wasteful number, since it uses less digits than its factorization.

11117862360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11117862360 in words is "eleven billion, one hundred seventeen million, eight hundred sixty-two thousand, three hundred sixty".